The distance between two bus stops of lucknow and Delhi is 450 km A bus starts from lucknow and move...........

Quant (SSC) Time & distance

The distance between two bus stops of lucknow and Delhi is 450 km. A bus starts from lucknow and moves towards delhi at an average speed of 15 km/h. Another bus starts from delhi, 20 minutes earlier than the first bus and moves towards lucknow at an average speed of 20 km/h. How far from lucknow and from delhi will the two buses will meet respectively:

190 km, 260 km

290 km,160 km

260 km,190 km

160 km, 290 km

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Explanation:

Let after travelling “t” hr the two bus met each other
If the bus starting from lucknow have travelled for time “t” hr
then bus starting from delhi will have travelled for
(t + 20/60)hr
and so the equation,
(15 x t) + 20 × (t + 20/60) = 450
⇒ 15t + 20t = 450 - 20/3
⇒ 35t = 1330/3
⇒ t = 38/3 hrs
Distance from lucknow when the two bus will meet
= (average speed of bus from lucknow to delhi ) × ( time “t” for which it travelled)
= 15 x 38/5 km = 5 × 38 km = 190 km
Distance from delhi when they meet
= 450km - 190 km = 260km